Diffraction of SH waves by a system of cracks: Solution by an integral equation method
The plane problem of an infinite region containing an arbitrary set of straight cracks which are excited by an incident time harmonic SH wave is investigated. Using the representation theorem for the displacements, the boundary value problem is formulated in terms of singular integral equations for the displacement jump across the cracks. An appropriate expansion of the unknown function into Chebyshev polynomials leads to a system of algebraic equations for the expansion coefficients; the latter are directly connected with the dynamic stress intensity factors. As examples various configurations of two cracks loaded by plane waves of different incident angles are considered and numerical results are presented.
singular integral equations for the displacement jump
scientific article; zbMATH DE number 4016313